{ "id": "1903.12404", "version": "v1", "published": "2019-03-29T09:12:00.000Z", "updated": "2019-03-29T09:12:00.000Z", "title": "Constraining the Fast Radio Burst (FRB) properties using the detections at Parkes, ASKAP and CHIME", "authors": [ "Siddhartha Bhattacharyya", "Somnath Bharadwaj" ], "comment": "Submitted to MNRAS Letter", "categories": [ "astro-ph.HE", "astro-ph.CO" ], "abstract": "We demonstrate how the FRB redshift and fluence distributions from the Parkes, ASKAP and CHIME telescopes can be used together to constrain the properties of the FRB population. Here we consider a simple model where all the FRBs have the same spectral index $\\alpha$ and rest frame energy $E$ (specified in a fixed band $2128\\;{\\rm MHz}$ to $2848\\;{\\rm MHz}$). We find that the constraints on $(\\alpha,E)$ depend on the scattering model for pulse broadening in the inter-galactic medium. For no scattering we find that there is a region of parameter space where the predictions are simultaneously consistent with the FRB redshift and fluence distributions at all three telescopes. The allowed $\\alpha$ range is bounded by $-6.0\\leq \\alpha \\leq-3.6$ and the allowed $E$ range is bounded by $1.79\\times 10^{33}{\\rm J} \\leq E \\leq 5.41\\times 10^{33}{\\rm J}$. Our analysis also rules out an empirical scattering model where the FRB pulse broadening in the IGM is predicted by extrapolating pulse broadening observed for pulsars in the ISM.", "revisions": [ { "version": "v1", "updated": "2019-03-29T09:12:00.000Z" } ], "analyses": { "keywords": [ "fast radio burst", "properties", "detections", "pulse broadening", "frb redshift" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }